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Results tagged with symmetric-spaces
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user 90655
A symmetric space is a connected Riemannian manifold in which at every point there exists a global self-isometry whose differential at the given point is minus identity.
3
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1
answer
358
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Closed manifolds of nonnegative curvature operator are symmetric spaces
In an online webinar, I heard (not directly) the statement that (closed) manifolds of nonnegative curvature operator $\mathcal{R}\geq 0$ are symmetric spaces. Is this a valid theorem? Any reference t …
- 4,195
3
votes
Accepted
Closed manifolds of nonnegative curvature operator are symmetric spaces
As Igor Belegradek commented, the correct statement is as follows:
Theorem (classification of closed simply connected manifold with nonnegative curvature operator): A closed simply connected manifold …
- 4,195